hope against hope (that…)
There is still a glimmer of hope (for something); Holding on to 1 in 10,000 (expressing a glimmer of hope in someone's desperate situation)
If you hope against hope that something will happen, you hope that it will happen, although it seems impossible；to hope very strongly that something will happen, although you know it is not likely
The first of these, "hope", should be changed according to the change in tense and subject.
They're just hoping against hope that she's still alive.
They still have a glimmer of hope that she is still alive.
She glanced about the hall, hoping against hope that Richard would be waiting for her.
Her eyes swept across the hall, still holding out a glimmer of hope that Richard would be there waiting for her.
He hopes against hope that he can get married with Maggie.
He still had a glimmer of hope that he would marry McGee.
These salesmen are always hoping against hope that there's still a pay rise.
These salespeople always have a glimmer of hope for a promotion and a raise.
Many in the House, and Mr Obama himself, hope against hope that the Senate will soften this in its own bill.
Many members of the House of Representatives, including Obama himself, want the Senate bill to ease that restriction.
After hearing about the accident, families were hoping against hope to receive good news.
After hearing the news of the accident, all the families had a glimmer of hope for the good news.
He was hoping against hope that his message would reach her.
He also held out a glimmer of hope that she would hear from him.
Finally, we hope against hope that we have the courage to ensure that this type of catastrophe can be prevented or mitigated.
In the end, there is a glimmer of hope that we will have the courage to ensure that such a catastrophe can be prevented or mitigated.
They were hoping against hope that he would find a way out.
They had a glimmer of hope that he would find a way out.
No one believes that they can do it – but I'm still hoping against hope that they can.
No one believed they could do it, but I still had a glimmer of hope.
He hope against hope that the doctor have is wrong about his illness.
He still had a glimmer of hope that the doctor had misdiagnosed.
They hope against hope that all would come well. 他们对所有一切都会转好抱有一线希望。
The mother continued to hope against hope although the plane was hours late.虽然飞机迟了几个小时，母亲仍怀有一线希望。
You Just Keep Throwing Them Against The Wall, Hoping Against Hope That Eventually Something Sticks.
You have to keep submitting and hopefully get a response in the end.
Similar expressions:
1. a silver lining一线希望
Every cloud has a silver lining. 黑暗中总有一线光明。
There's usually a silver lining if you look hard enough.
If you try to find it, there is usually always a silver lining.
When things look black, there's always a silver lining.
When things look dark, there's always a silver lining.
2. a glimmer / ray of hope一线希望
I looked at her and felt a glimmer of hope.
I looked at her and felt a glimmer of hope.
They could provide a ray of hope amid the general business and economic gloom
In the midst of a general business and economic downturn, they offer a silver lining.
The uneasy alliance between these two men offered a glimmer of hope
The weak union between the two gives a glimmer of hope.
3. one line of hope
A very small degree of hope is sufficient to cause the birth of love.
A glimmer of hope is enough to ignite a spark of love.
A slender hope flickered within her. 她的心中闪现出一线希望。
As long as there is a flash of hope, I will not give up.
As long as there is a glimmer of hope, I will not give up trying.
There is still a remote chance that they will find her alive.
They still had a glimmer of hope to find her alive.
The orders will throw a lifeline to Britain's shipyards.
These orders will breathe a ray of life into shipyards in the UK.
When they didn't shoot at me right away, I figured I had a fighting chance.
When they didn't shoot me right away, I figured I had a chance to live.
Could nothing be rescued from the wreckage of her dreams?
Couldn't there be a glimmer of hope in her shattered dreams?
There's still a slim chance that he may become Prime Minister.
He still has a glimmer of hope of becoming prime minister.